Recent progress on the factorization method for electrical impedance tomography

DOI10.1155/2013/425184zbMath1307.94008OpenAlexW1999120614WikidataQ42073816 ScholiaQ42073816MaRDI QIDQ2262184

Bastian Harrach

Publication date: 16 March 2015

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/425184

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Biomedical imaging and signal processing (92C55) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (19)

Interpolation of missing electrode data in electrical impedance tomography ⋮ Monotonicity-Based Regularization for Phantom Experiment Data in Electrical Impedance Tomography ⋮ Superconductive and insulating inclusions for linear and non-linear conductivity equations ⋮ On elliptic partial differential equations in bioimpedance ⋮ Enhancing residual-based techniques with shape reconstruction features in electrical impedance tomography ⋮ Detecting stochastic inclusions in electrical impedance tomography ⋮ Immersed boundary method for the complete electrode model in electrical impedance tomography ⋮ A shape optimization approach for electrical impedance tomography with point measurements ⋮ Reconstruction of piecewise constant layered conductivities in electrical impedance tomography ⋮ Monotonicity-Based Reconstruction of Extreme Inclusions in Electrical Impedance Tomography ⋮ The regularized monotonicity method: detecting irregular indefinite inclusions ⋮ Monotonicity-based electrical impedance tomography for lung imaging ⋮ The factorization method for cracks in electrical impedance tomography ⋮ Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography ⋮ Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem ⋮ Monotonicity in Inverse Medium Scattering on Unbounded Domains ⋮ Electrical impedance tomography with multiplicative regularization ⋮ Monotonicity and local uniqueness for the Helmholtz equation ⋮ Shape reconstruction in linear elasticity: standard and linearized monotonicity method

Cites Work

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• Probing for electrical inclusions with complex spherical waves
• Detecting Interfaces in a Parabolic‐Elliptic Problem from Surface Measurements
• Factorization method and irregular inclusions in electrical impedance tomography

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